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Robust simple linear regression×OLS-regressio (Ordinary Least Squares)×
TieteenalaTilastotiedeEkonometria
MenetelmäperheRegression modelRegression model
Syntyvuosi1964-19872019
KehittäjäPeter J. Huber (M-estimators, 1964); Rousseeuw & Leroy (practical framework, 1987)Wooldridge (textbook treatment); classical least squares
TyyppiRobust linear regressionLinear regression
AlkuperäislähdeRousseeuw, P. J., & Leroy, A. M. (1987). Robust Regression and Outlier Detection. John Wiley & Sons. ISBN: 978-0471852339Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
Rinnakkaisnimetrobust SLR, M-estimator simple regression, outlier-resistant simple regression, robust bivariate regressionordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Liittyvät65
TiivistelmäRobust simple linear regression fits a straight line through bivariate data using loss functions or weighting schemes that down-weight outliers, producing slope and intercept estimates that are far less sensitive to extreme observations than ordinary least squares while remaining easy to interpret.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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